I think that's fishy, though, because with so many shared traits between the two types, like introversion (which would explain your overall quietness) and extraverted intuition (which would explain the dreaminess), it's foolhardy to use those as criteria for distinguishing one from the other. And the female = F thing, which hasn't been explicitly expressed but which I'm sure has played at least a small part in people's calculation of your type (how could it not, with INTPs being so overwhelmingly male?), is not convincing unless it's coupled with other strong indicators that you are an F type. Which we have yet to see.
So until otherwise convincingly argued, I will default to INTP.